Vector algebra

In mathematics, vector algebra may mean:
 * The operations of vector addition and scalar multiplication of a vector space
 * The algebraic operations in vector calculus (vector analysis) – including the dot and cross products of 3-dimensional Euclidean space
 * Algebra over a field – a vector space equipped with a bilinear product
 * Any of the original vector algebras of the nineteenth century, including
 * Quaternions
 * Tessarines
 * Coquaternions
 * Biquaternions
 * Hyperbolic quaternions